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Kinematic expansive flows

Published online by Cambridge University Press:  05 August 2014

ALFONSO ARTIGUE
ALFONSO ARTIGUE*
Affiliation:
DMEL, Regional Norte, Universidad de la República, Gral. Rivera 1350, Salto, Uruguay email artigue@unorte.edu.uy
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Abstract

In this paper we study kinematic expansive flows on compact metric spaces, surfaces and general manifolds. Different variations of the definition are considered and its relationship with expansiveness in the sense of Bowen–Walters and Komuro is analyzed. We consider continuous and smooth flows and robust kinematic expansiveness of vector fields is considered on smooth manifolds.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 36 , Issue 2 , April 2016 , pp. 390 - 421
Copyright
© Cambridge University Press, 2014 

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